Geodesic
Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 3-14

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The problem of boundary control stabilization of the solution to the heat equation defined in the exterior of a sphere is studied in the paper. The boundary control function stabilizing the solution to zero with the rate $ 1/{t^k}$ is constructed for any $k>0$. 
@article{VMUMM_2016_5_a0,
     author = {A. V. Gorshkov},
     title = {Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {3--14},
     publisher = {mathdoc},
     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/}
}
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A. V. Gorshkov. Stabilization of the solution to a heat equation in the exterior of a sphere with boundary control. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2016), pp. 3-14. http://geodesic.mathdoc.fr/item/VMUMM_2016_5_a0/